1353381534912 has 224 divisors, whose sum is σ = 4003944873984. Its totient is φ = 399901824000.

The previous prime is 1353381534899. The next prime is 1353381534931. The reversal of 1353381534912 is 2194351833531.

It is a super-2 number, since 2×1353381534912² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55113037 + ... + 55137587.

Almost surely, 2^{1353381534912} is an apocalyptic number.

1353381534912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353381534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001972436992).

1353381534912 is an abundant number, since it is smaller than the sum of its proper divisors (2650563339072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353381534912 is a wasteful number, since it uses less digits than its factorization.

1353381534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25227 (or 25217 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 1353381534912 in words is "one trillion, three hundred fifty-three billion, three hundred eighty-one million, five hundred thirty-four thousand, nine hundred twelve".